Elements of Geometry |
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... quantities ib . What is meant by the degree of a product 31 Note - on the term ... quantity whose exponent is zero 40 How an expression employing division may ... unknown quantities and of negative quantities 59 Examples 60 To resolve an ...
... quantities ib . What is meant by the degree of a product 31 Note - on the term ... quantity whose exponent is zero 40 How an expression employing division may ... unknown quantities and of negative quantities 59 Examples 60 To resolve an ...
Page 213
... quantity Rule for transposing any term from one member of an equation to the other To disengage an unknown quantity from multipliers Of equations , the terms of which have divisors Rule for making the denominators in an equation to ...
... quantity Rule for transposing any term from one member of an equation to the other To disengage an unknown quantity from multipliers Of equations , the terms of which have divisors Rule for making the denominators in an equation to ...
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... quantities What is meant by the degree of a product Note on the term dimensions ... quantity whose exponent is zero How an expression employing division may be ... unknown quantities and of negative quantities Examples To resolve an ...
... quantities What is meant by the degree of a product Note on the term dimensions ... quantity whose exponent is zero How an expression employing division may be ... unknown quantities and of negative quantities Examples To resolve an ...
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Adrien Marie Legendre. A question in which one of the unknown quantities has the sign How this sign is to be understood 69 62 63 How values affected with the sign of a problem must satisfy the conditions Examples for illustration ...
Adrien Marie Legendre. A question in which one of the unknown quantities has the sign How this sign is to be understood 69 62 63 How values affected with the sign of a problem must satisfy the conditions Examples for illustration ...
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... unknown quantity The square root of a quantity may have the sign + or - The square root of a negative quantity is imaginary Complete equations of the second degree · · 111 112 · 113 115 General formula for resolving equations of the ...
... unknown quantity The square root of a quantity may have the sign + or - The square root of a negative quantity is imaginary Complete equations of the second degree · · 111 112 · 113 115 General formula for resolving equations of the ...
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Common terms and phrases
ABCD adjacent angles algebraic algebraic quantities altitude angle ACB base centre chord circ circle circular sector circumference coefficient common divisor cone consequently contains Corollary cube cylinder Demonstration denominator denoted diameter divided dividend division equal equivalent evident example exponent expression factors figure fraction frustum given gives greater greatest common divisor homologous sides inscribed less letters logarithm manner measure multiplied obtain parallel parallelogram parallelopiped perpendicular plane MN polyedron preceding prism proportion proposed equation proposition quotient radical sign radii radius ratio rectangle reduced regular polygon remainder result right angles Scholium side BC similar solid angle sphere spherical square root straight line substitute subtract suppose term THEOREM third tion triangle ABC triangular pyramids unity unknown quantity vertex whence
Popular passages
Page 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 7 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 151 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Page 76 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Page 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Page 160 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Page 203 - In every triangle the sum of the three angles is equal to two right angles.
Page 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Page 141 - If a pyramid is cut by a plane parallel to its base, the...